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Symplectic and Contact Geometry

Latin American mathematics series. UFSCar subseries
exaly  

Almost contact metric submersions and symplectic manifolds

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2014
In this paper, we discuss some geometric properties of almost contact metric submersions involving symplectic manifolds. We show that this is obtained if the total space is an b-almost Kenmotsu manifold.
Augustin BATUBENGE   +1 more
openaire   +3 more sources

The topology of Stein fillable manifolds in high dimensions II [PDF]

open access: yes, 2015
We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q ...
Bowden, Jonathan   +3 more
core   +3 more sources

K-cosymplectic manifolds [PDF]

open access: yes, 2014
In this paper we study K-cosymplectic manifolds, i.e., smooth cosymplectic manifolds for which the Reeb field is Killing with respect to some Riemannian metric.
Bazzoni, Giovanni, Goertsches, Oliver
core   +1 more source

Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula

open access: yes, 2020
We use the theory of Berezin-Toeplitz operators of Ma and Marinescu to study the quantum Hamiltonian dynamics associated with classical Hamiltonian flows over closed prequantized symplectic manifolds in the context of geometric quantization of Kostant ...
Ioos, Louis
core   +1 more source

Symplectic Groupoids and Generalized Almost Contact Manifolds [PDF]

open access: yes, 2014
We obtain equivalent assertions among the integrability conditions of generalized almost contact manifolds, the condition of compatibility of source and target maps of symplectic groupoids with symplectic form and generalized contact ...

core   +1 more source

Contact pairs and locally conformally symplectic structures [PDF]

open access: yes, 2010
We discuss a correspondence between certain contact pairs on the one hand, and certain locally conformally symplectic forms on the other. In particular, we characterize these structures through suspensions of contactomorphisms.
Bande, G., Kotschick, D.
core   +1 more source

On the geometry of almost $\mathcal{S}$-manifolds [PDF]

open access: yes, 2011
An $f$-structure on a manifold $M$ is an endomorphism field $\phi$ satisfying $\phi^3+\phi=0$. We call an $f$-structure {\em regular} if the distribution $T=\ker\phi$ is involutive and regular, in the sense of Palais.
Fitzpatrick, Sean
core   +3 more sources

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